✍️ Week 5: Choice Reflection - Trade-offs & Scarcity
Unit 10: Kai, Culture and Climate — Surviving Scarcity
Reflect on how scarcity and trade-offs shape decisions. Write a paragraph explaining your choices.
💭 Key Concepts Review
- Scarcity: When there isn't enough of something to meet everyone's wants and needs
- Trade-off: Giving up one thing to get another. Every choice has a cost.
- Opportunity Cost: The value of what you give up when you make a choice
- Choice: The act of selecting between different options when resources are limited
📝 Reflection: My Choices
1. The Role-Play Scenario
What choices did your group make in the disaster scenario?
What trade-offs did you make? (What did you give up?)
How did scarcity affect your decisions?
2. The Budgeting Task
What did you choose to buy with your $50?
What was your opportunity cost? (What did you give up by making these choices?)
Why did you make these choices?
🔗 Connecting to Real Life
Think about a real-life situation where you had to make a choice because of scarcity (limited money, time, resources).
What trade-off did you make?
How does this connect to our unit's Big Question: "What Will We Eat Tomorrow?"
📄 Final Paragraph
Write a complete paragraph (5-7 sentences) explaining:
- How scarcity and trade-offs shape decisions
- What you learned from the activities
- How this connects to food scarcity and our unit
💡 Sentence Starters (For Support)
- "Scarcity affects decisions because..."
- "When resources are limited, people must make trade-offs such as..."
- "The opportunity cost of my choice was..."
- "This connects to food scarcity because..."
- "I learned that scarcity forces us to..."
Curriculum alignment
- Relationships — Practices: Reflecting on how role models and peer influences shape values and behaviours, and practising making intentional choices that align with personal identity and wellbeing, even …
- Measurement — Practices: - Reasoning about duration using different units of time, including decimal fractions of milliseconds where appropriate
📋 Teacher Planning Snapshot
Ngā Whāinga Ako — Learning Intentions
Students will engage with this resource to develop geometric thinking through the lens of Māori visual art — exploring symmetry, transformation, tessellation, and spatial reasoning through the mathematical structures embedded in tukutuku panels, kōwhaiwhai rafter patterns, tāniko weaving, and whakairo (carving).
Ngā Paearu Angitū — Success Criteria
- ✅ Students can identify and describe geometric properties (symmetry, rotation, reflection, translation) within Māori art forms.
- ✅ Students can design their own pattern using geometric transformations, connecting mathematical precision to cultural meaning.
Differentiation & Inclusion
Scaffold support: Provide grid templates and partially completed pattern examples for entry-level construction tasks. Allow students to trace and analyse existing patterns before creating their own. Extend capable students by asking them to calculate the mathematical properties of their design (angles, lines of symmetry, ratio of repeat unit to total pattern) and explain the transformation rules in formal mathematical language.
ELL / ESOL: Geometry is a highly visual domain — the spatial and pattern-based nature of this content naturally reduces language barriers. Key vocabulary (symmetry, reflection, rotation, translation, tessellation) should be taught using physical models and diagrams before text-based tasks. Students can demonstrate geometric understanding through drawing and construction without requiring English fluency.
Inclusion: Geometric pattern work is inherently accessible and engaging across learning styles — visual, kinaesthetic, and analytical learners all find entry points. Neurodiverse learners often excel at pattern recognition and spatial reasoning. Offer choice in medium: digital tools, grid paper, or physical construction with card. The cultural context provides motivating purpose for students who find abstract geometry disconnected from meaning.
Mātauranga Māori lens: Māori art is mathematics made visible. Tukutuku panels encode precise geometric grids requiring exact calculation of spacing, proportion, and symmetry. Kōwhaiwhai patterns use translational symmetry along the length of rafter beams — a sophisticated application of repeating geometric units. Tāniko weaving requires mental rotation and spatial reasoning to maintain pattern integrity across diagonal threads. Whakairo (carving) encodes symbolic meaning within geometric forms. Far from being decorative, these art forms represent generations of mathematical knowledge encoded in cultural practice. Teaching geometry through this lens shows ākonga that mathematics belongs to all cultures — and that Māori ancestors were sophisticated mathematicians.
Prior knowledge: Students should have foundational understanding of 2D shapes and basic transformation vocabulary. No prior knowledge of Māori art forms required — the unit introduces cultural context alongside mathematical content.
Curriculum alignment
- Geometry and Measurement — Shape: Apply the properties of symmetry, including line and rotational symmetry, to identify, describe, and create patterns and shapes.
- Geometry and Measurement — Transformation: Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).